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19972026
most citedNetworks beyond pairwise interactions: structure and dynamics

1.6k citations

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math.NA2024★ 1 cited

A Characteristic Mapping Method with Source Terms: Applications to Ideal Magnetohydrodynamics

Xi-Yuan Yin, Philipp Krah, Jean-Christophe Nave +1

This work introduces a generalized characteristic mapping method designed to handle non-linear advection with source terms. The semi-Lagrangian approach advances the flow map, inco…

math.NA2024★ 5 cited

A robust shifted proper orthogonal decomposition: Proximal methods for decomposing flows with multiple transports

Philipp Krah, Arthur Marmin, Beata Zorawski +2

We present a new methodology for decomposing flows with multiple transports that further extends the shifted proper orthogonal decomposition (sPOD). The sPOD tries to approximate t…